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## Surface Areas and Volumes Class 10 MCQs Questions with Answers

**Surface Area And Volume Class 10 MCQ Question 1.**

If the surface areas of two spheres are in ratio 16 : 9, then their volumes will be in the ratio:

(a) 27 : 64

(b) 64 : 27

(c) 4 : 3

(d) 3 : 4

## Answer

Answer: (b) 64 : 27

**Surface Area And Volume MCQ Question 2.**

A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio of their volumes?

(a) 3 : 1 : 2

(b) 3 : 2 : 1

(c) 1 : 2 : 3

(d) 1 : 3 : 2

## Answer

Answer: (a) 3 : 1 : 2

**Surface Area And Volume Class 10 MCQ With Answers Question 3.**

If the area of three adjacent faces of cuboid are X, Y and Z respectively, then the volume of cuboid is:

(a) XYZ

(b) 3XYZ

(c) \(\sqrt{xyz}\)

(d) \(\sqrt{3xyz}\)

## Answer

Answer: (c) \(\sqrt{xyz}\)

**Class 10 Maths Chapter 13 MCQ Question 4.**

The volumes of two spheres are in the ratio 27 : 8. The ratio of their curved surface is:

(a) 9 : 4

(b) 4 : 9

(c) 3 : 2

(d) 2 : 3

## Answer

Answer: (a) 9 : 4

**MCQ Of Chapter 13 Maths Class 10 Question 5.**

The ratio of the volumes of two spheres is 8 : 27. If r and R are the radii of spheres respectively, then (R – r): r is:

(a) 1 : 2

(b) 1 : 3

(c) 2 : 3

(d) 4 : 9

## Answer

Answer: (a) 1 : 2

**MCQ On Surface Area And Volume Question 6.
**The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is:

(a) 27 : 20

(b) 20 : 27

(c) 9 : 4

(d) 4 : 9

## Answer

Answer: (b) 20 : 27

**MCQ On Surface Area And Volume Class 10 Question 7.**

If the radius of base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of the reduced cylinder to that of the original cylinder is:

(a) 2 : 3

(b) 3 : 4

(c) 1 : 4

(d) 4 : 1

## Answer

Answer: (c) 1 : 4

**Surface Area And Volume MCQ Questions Class 10 Question 8.**

If the volumes of a cube is 1728 cm³, the length of its edge is equal to:

(a) 7 cm

(b) 12 cm

(c) 18 cm

(d) 19 cm

## Answer

Answer: (b) 12 cm

**MCQ Surface Area And Volume Class 10 Question 9.**

The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is: .

(a) 9.7

(b) 72.6

(c) 58.2

(d) 19.4

## Answer

Answer: (d) 19.

**Class 10 Surface Area And Volume MCQ Question 10.**

The circumference of the edge of hemispherical bowl is 132 cm. When π is taken as \(\frac{22}{7}\), the capacity of bowl in cm³ is:

(a) 2772

(b) 924

(c) 19404

(d) 9702

## Answer

Answer: (a) 2772

**MCQ On Surface Area And Volume Class 10 Pdf Question 11.**

The surface areas of two spheres are in the ratio 1 : 2. The ratio of their volume is:

(a) √2 : 1

(b) 1 : 2√2

(c) 1 : 8

(d) 1 : 4

## Answer

Answer: (b) 1 : 2√2

**MCQ Questions For Class 10 Maths Chapter 13 Question 12.**

The radius of spherical balloon increases from 8 cm to 12 cm. The ratio of the surface areas of balloon in two cases is:

(a) 2 : 3

(b) 3 : 2

(c) 8 : 27

(d) 4 : 9

## Answer

Answer: (d) 4 : 9

**MCQ Questions For Class 10 Maths Surface Area And Volume Question 13.**

Two cubes each of volume 8 cm³ are joined end to end, then the surface area of the resulting cuboid is:

(a) 80 cm²

(b) 64 cm²

(c) 40 cm²

(d) 8 cm²

## Answer

Answer: (c) 40 cm²

**Ch 13 Maths Class 10 MCQ Question 14.**

A cylindrical pencil sharpened at one edge is combination of:

(a) a cone and a cylinder

(b) frustum of a cone and cylinder

(c) a hemisphere and a cylinder

(d) four cylinders

## Answer

Answer: (a) a cone and a cylinder

**MCQ Of Surface Area And Volume Class 10 Question 15.**

Taking π = \(\frac{22}{7}\), if surface area of a sphere is 616 cm², then its diameter is:

(a) 7 cm

(b) 14 cm

(c) 56 cm

(d) 28 cm

## Answer

Answer: (b) 14 cm

Question 16.

The area of the square that can be inscribed in a circle of radius 8 cm is (in cm²):

(a) 256

(b) 128

(c) 64√2

(d) 64

## Answer

Answer: (b) 128

Question 17.

The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm² is:

(a) 60π cm²

(b) 68π cm²

(c) 1200π cm²

(d) 136π cm²

## Answer

Answer: (d) 136π cm²

Question 18.

A shuttle cock used for playing badminton has the shape of a combination of:

(а) a cylinder and a sphere

(b) a cylinder and a hemisphere

(c) a cone and a sphere

(d) a frustum of a cone and a hemisphere

## Answer

Answer: (d) a frustum of a cone and a hemisphere

Question 19.

The total surface area of a solid hemisphere of radius r is:

(a) 47πr²

(b) 2πr²

(c) \(\frac{4}{3}\)πr³

(d) 3πr²

## Answer

Answer: (d) 3πr²

Question 20.

The radius of a wire is decreased to one third. If volume remains the same, the length will become:

(a) 3 times

(b) 6 times

(c) 9 times

(d) 27 times

## Answer

Answer: (c) 9 times

Question 21.

The volume of a right circular cylinder is 345 cm³. Then, the volume of a right circular cone whose radius of the base and height is the same as of circular cylinder will be:

(a) 345 cm³

(b) 690 cm³

(c) 115 cm³

(d) 230 cm³

## Answer

Answer: (c) 115 cm³

Question 22.

The slant height of a bucket is 26 cm. The diameter of upper and lower circular ends are 36 cm and 16 cm. then height of bucket is:

(a) 22 cm

(b) 24 cm

(c) 10 cm

(d) 25 cm

## Answer

Answer: (b) 24 cm

Question 23.

The volume (in cm³) of the largest right circular cone that can be cut off from a cube of edge 4.2 cm is:

(a) 9.7

(b) 77.6

(c) 58.2

(d) 19.4

## Answer

Answer: (d) 19.4

Question 24.

By melting a solid sphere of radius 5 cm a solid right circular cone of the same circular base radius is made. The height of cone is:

(a) 20 cm

(b) 10 cm

(c) 5 cm

(d) 12 cm

## Answer

Answer: (a) 20 cm

Question 25.

A cylinder and a cone area of same base radius and of same height. The ratio of the volume of cylinder to that of cone is:

(a) 3 : 1

(b) 1 : 3

(c) 2 : 3

(d) 1 : 1

## Answer

Answer: (a) 3 : 1

Question 26.

Eight solid sphere of same size are made by melting a solid metallic cylinder of base diameter 6 cm and height 32 cm. The diameter of each sphere is:

(a) 3 cm

(b) 6 cm

(c) 12 cm

(d) 8 cm

## Answer

Answer: (b) 6 cm

Question 27.

The number of conical bottles of radius 2 cm and height 3.6 cm, required to empty the liquid from a cylindrical bottle of radius 6 cm and height 10 cm is:

(a) 100

(b) 9

(c) 75

(d) 20

## Answer

Answer: (c) 75

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